The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 0 1 X 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 X 0 X 1 X 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 X 1 1 1 0 X 1 0 0 1 1 1 X 1 0 1 X+1 1 1 X+1 1 1 0 1 X+1 0 0 1 X X 1 1 1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 1 0 1 1 0 1 X+1 1 0 X X+1 X 1 X+1 1 X+1 X+1 X 0 X X 0 1 0 1 1 1 X+1 0 1 0 X 1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X X 0 X X 0 X X 0 X 0 0 X 0 X X 0 X 0 X 0 X 0 X X X 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X 0 X 0 0 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 0 X X X 0 0 X X X X 0 0 0 X X 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X X X 0 X X 0 0 0 X X X 0 0 0 X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X X X X X 0 X X 0 X 0 X X X X X 0 X X 0 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 X X 0 0 0 0 0 X 0 X 0 X X 0 0 X X 0 X 0 0 0 0 X X X X 0 0 X generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+70x^38+50x^39+182x^40+190x^41+340x^42+316x^43+546x^44+618x^45+744x^46+1026x^47+944x^48+1232x^49+1178x^50+1320x^51+1306x^52+1236x^53+1085x^54+1014x^55+753x^56+670x^57+493x^58+316x^59+300x^60+130x^61+162x^62+54x^63+49x^64+20x^65+20x^66+7x^68+3x^70+7x^72+1x^74+1x^84 The gray image is a linear code over GF(2) with n=102, k=14 and d=38. This code was found by Heurico 1.16 in 26.8 seconds.